You Do Need power plug adapter while traveling from Libya to Madeira.

Here is Why You Need An Adapter

The outlet and plug type used in Madeira are C and F and in Libya are C and L. This is how they look like.

Libya

In Libya, outlets of type C and L are in use.

Type C

Type L

Madeira

In Madeira, outlets of type C and F are in use.

Type C

Type F